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Finding the Fourth Proportional to 14,278.42, 19,713.15 and 9,176

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Solution

The fourth proportional to 14,278.42, 19,713.15 and 9,176 is: 12,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.42 : 19,713.15 = 9,176 : x
  2. Step 2: Convert to fraction form
    14,278.42/19,713.15 = 9,176/x
  3. Step 3: Cross multiply
    14,278.42x = 19,713.15 × 9,176
  4. Step 4: Simplify right side
    14,278.42x = 180,887,818.52
  5. Step 5: Solve for x
    x = 180,887,818.52/14,278.42
  6. Step 6: Final answer
    x = 12,668.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.